51/40 as a decimal and mixed number expansion provides the detailed information about what is 51/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
51/40 as a Decimal Expansion
51/40 = 1.275
Hence,
51/40 as a decimal equals to 1.275
where,
51/40 is a given fraction,
The decimal expansion of 51/40 is 1.275
51/40 as a Mixed Number
51/40 = (40 + 11)/40
= 40/40 + 11/40
= 1 + 11/40
= 1 11/40
51/40 = 1 11/40
Hence,
51/40 as a mixed number is 1 11/40
where,
51/40 is a given fraction,
1 11/40 is the mixed number representation of 51/40.
The below work with steps provide the detailed information about how to convert fraction 51/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 51/40
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 51/40.
step 2 The numerator is greater than the denominator of the fraction 51/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 51/40
= 40 + 11/40
step 3 Make the above expression as individual fractions:
= 40/40 + 11/40
step 4 Simplify the above expression:
= 1 x 40/40 + 11/40
= 1 + 11/40
1 + 11/40 can be written as a mixed number 1 11/40.
step 5 Find the decimal equivalent for the fractional part 11/40 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 11/40. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 11/40.
= 1 + (11/40 x 10/10)
step 6 Simplify the above expression further:
= 1 + (110/40 x 1/10)
= 1 + (80 + 30/40 x 1/10)
= 1 + [(80/40 + 30/40 ) x 1/10]
= 1 + [(2 + 30/40) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 30/40 in the above expression:
= 1 + [(2 + 30/40) x 1/10]
= 1 + [(2 + 0.75) x 1/10]
= 1 + (2.75 x 1/10)
= 1 + 2.75/10
= 1 + 0.275
step 8 Find the sum of above expression:
= 1 + 0.275
= 1.275
51/40 = 1.275
Hence,
51/40 as a decimal is 1.275
51/40 as a mixed number is 1 11/40